Keywords: نماینده انتقادی Sobolev; 35A15; 35J60; 46E35Fractional Schrödinger equations; Critical Sobolev exponent; Ambrosetti–Rabinowitz condition; Concentration compactness principle
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Keywords: نماینده انتقادی Sobolev; Elliptic equations; Critical Sobolev exponent; Bubbling solutions
Keywords: نماینده انتقادی Sobolev; Nehari manifold; Critical Sobolev exponent; Semi-linear elliptic system; Lusternik–Schnirelmann category; Multiple positive solutions
Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term
Keywords: نماینده انتقادی Sobolev; Kirchhoff-type nonlocal term; Critical Sobolev exponent; Positive solutions; Variational method; Nehari method;
Least energy sign-changing solutions of the singularly perturbed Brezis-Nirenberg problem
Keywords: نماینده انتقادی Sobolev; 35B33; 35J20; Sign-changing solution; Critical Sobolev exponent; Semi-classical solution;
A priori estimates for some elliptic equations involving the p-Laplacian
Keywords: نماینده انتقادی Sobolev; A priori estimates; Quasilinear elliptic equations with p-Laplacian; Critical Sobolev exponent; Moving planes method; Pohozaev identity; Picone identity;
Sign-changing semi-classical solutions of the BrezÃs-Nirenberg problems with jump nonlinearities in high dimensions
Keywords: نماینده انتقادی Sobolev; Sign-changing solution; Critical Sobolev exponent; Semi-classical solution; Variational method; Jumping nonlinearity;
Multiple symmetric results for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in
RN
Keywords: نماینده انتقادی Sobolev; G-symmetric solution; symmetric criticality principle; critical Sobolev exponent; biharmonic elliptic systems; 35B33; 35J48; 35J50;
Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity
Keywords: نماینده انتقادی Sobolev; 35J20; 35J60Singular potential; Critical Sobolev exponent; Variational methods; Multiple positive solutions
Sharp trace Hardy–Sobolev inequalities and fractional Hardy–Sobolev inequalities
Keywords: نماینده انتقادی Sobolev; Weighted trace Hardy inequality; Hardy–Sobolev inequality; Fractional Laplacian; Critical Sobolev exponent
A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces
Keywords: نماینده انتقادی Sobolev; primary, 35J60, 35C20, 35B33, 49J45Profile decomposition; Global compactness; Fractional Sobolev; Critical Sobolev exponent
Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents
Keywords: نماینده انتقادی Sobolev; Multiple positive solutions; Nonlocal problems; Critical Sobolev exponent; Nehari manifold; Ljusternik–Schnirelmann category
Sign changing bump solutions for Schrödinger equations involving critical growth and indefinite potential wells
Keywords: نماینده انتقادی Sobolev; 35Q55; 35J655; Schrödinger equation; Critical Sobolev exponent; Sign changing bump solutions; Indefinite potential wells;
Nehari-type ground state solutions for Schrödinger equations including critical exponent
Keywords: نماینده انتقادی Sobolev; Schrödinger equation; Critical Sobolev exponent; Nehari-type ground state solutions
Existence and concentration of solutions with compact support for elliptic problems with critical growth in RN
Keywords: نماینده انتقادی Sobolev; Non-Lipschitz semilinear elliptic PDE; Critical Sobolev exponent; Concave-convex nonlinearities; Compactly supported solutions;
Arbitrary many peak solutions for a bi-harmonic equation with nearly critical growth
Keywords: نماینده انتقادی Sobolev; Arbitrary many peak solutions; Critical Sobolev exponent; Biharmonic operator
A non-linear problem involving a critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; Critical Sobolev exponent; Minimization problem; Non-linear effects
Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; Multiple positive solutions; Semilinear elliptic problems; Critical Sobolev exponent; Nehari manifold
The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
Keywords: نماینده انتقادی Sobolev; Indefinite semilinear elliptic systems; Multiple positive solutions; Critical Sobolev exponent; Nehari manifold
Solutions of Schrödinger equations with inverse square potential and critical nonlinearity
Keywords: نماینده انتقادی Sobolev; 35J10; 35J20; 35J60Compactness; Critical Sobolev exponent; Nonlinear Schrödinger equation; Positive solutions; Palais–Smale sequence
Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; p–qp–q-Laplacian; Limit index; Multiple solutions; Critical Sobolev exponent
Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
Keywords: نماینده انتقادی Sobolev; Blowing-up solution; Liouville equation; Critical Sobolev exponent
Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; 35J65; 35J20Multiple positive solutions; Singular potential; Critical Sobolev exponent; Ekeland variational principle; Mountain Pass theorem
Multiple positive solutions for a critical quasilinear elliptic system with concave–convex nonlinearities
Keywords: نماینده انتقادی Sobolev; 35J65; 35J50; 35J55Elliptic system; Nehari manifold; Concave–convex; Critical Sobolev exponent
Extremal functions and best constants to an inequality involving Hardy potential and critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; 35J60; Asymptotic behavior; Extremal functions; Hardy potential; Critical Sobolev exponent; Brezis-Nirenberg type problem;
Multiple positive solutions for a critical quasilinear equation via Morse theory
Keywords: نماینده انتقادی Sobolev; 58E05; 35B20; 35B33; 35J60p-Laplace equations; Critical Sobolev exponent; Perturbation results; Morse theory; Critical groups
Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications
Keywords: نماینده انتقادی Sobolev; 35J20; 35J60; 58E50Quasilinear elliptic problem; Critical Sobolev exponent; Hardy potential; Global compactness; Positive solution; Nodal solution
Positive solutions for critical inhomogeneous elliptic problems in non-contractible domains
Keywords: نماینده انتقادی Sobolev; 35J20; 35J50; 35J60Positive solutions; Critical Sobolev exponent; Semilinear elliptic equation; Palais–Smale condition; Ljusternik–Schnirelman category; Inhomogeneous problem
Asymptotics for a variational problem with critical growth and slightly positive Dirichlet data
Keywords: نماینده انتقادی Sobolev; Semilinear elliptic equation; Critical Sobolev exponent; Robin function; Pohozaev’s identity
On an electromagnetic Schrödinger equation with critical growth
Keywords: نماینده انتقادی Sobolev; Electromagnetic field; Schrödinger equation; Critical Sobolev exponent; Linking
On the singular critical quasilinear problems in RNRN
Keywords: نماینده انتقادی Sobolev; 35J60; 35J65Solution; Compactness; Critical Sobolev exponent; Singularity
On the elliptic problems involving multi-singular inverse square potentials and critical Sobolev exponent
Keywords: نماینده انتقادی Sobolev; 35J60; 35B33; Semilinear elliptic problem; Multi-singular; Critical Sobolev exponent; Variational method;
pp-Laplacian problems with critical Sobolev exponents
Keywords: نماینده انتقادی Sobolev; primary; 35J65; secondary; 35B33, 47J30pp-Laplacian problems; Critical Sobolev exponent; Existence and multiplicity; Variational methods
Nonexistence results for a class of nonlinear elliptic equations involving critical Sobolev exponents
Keywords: نماینده انتقادی Sobolev; Nonexistence results; Critical Sobolev exponent; Pohozaev identity
Quasilinear elliptic systems with critical Sobolev exponents in RNRN
Keywords: نماینده انتقادی Sobolev; 35P65; 35P30pp-Laplacian operator; Critical Sobolev exponent; Palais–Smale condition; Mountain Pass Theorem; Concentration–compactness principle
On a nonhomogeneous elliptic system with changing sign data
Keywords: نماینده انتقادی Sobolev; Nonhomogeneous system; Sub-supersolution method; Mountain Pass Theorem; Critical Sobolev exponent
Multiple positive and sign-changing solutions for a singular Schrödinger equation with critical growth
Keywords: نماینده انتقادی Sobolev; 35J20; 35J70Variational methods; Multiple positive and sign-changing solutions; Singular potential; Critical Sobolev exponent
Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity
Keywords: نماینده انتقادی Sobolev; 35J60; 35J65; 58E05Fourth-order elliptic equation; Critical Sobolev exponent; Biharmonic operator
On a fourth order elliptic equation with critical nonlinearity in dimension six
Keywords: نماینده انتقادی Sobolev; 35J60; 35J65; 58E05Fourth order elliptic equation; Critical Sobolev exponent; Critical point at infinity
Solutions to critical elliptic equations with multi-singular inverse square potentials
Keywords: نماینده انتقادی Sobolev; Semilinear elliptic equation; Energy functional; Palais–Smale condition; Critical Sobolev exponent
Nehari manifold and existence of positive solutions to a class of quasilinear problems
Keywords: نماینده انتقادی Sobolev; 35A15; 35B33; 35H39; Variational method; Quasilinear problem; Critical Sobolev exponent;
On a semi-linear Schrödinger equation in RN
Keywords: نماینده انتقادی Sobolev; Schrödinger equation; Critical Sobolev exponent; Linking;
Multiple positive solutions for a semilinear equation with prescribed singularity
Keywords: نماینده انتقادی Sobolev; Variational methods; Multiple positive solutions; Singular potential; Critical Sobolev exponent;
High-energy positive solutions for a critical growth Dirichlet problem in noncontractible domains
Keywords: نماینده انتقادی Sobolev; Elliptic system; Energy functional; (PS) sequence; Critical Sobolev exponent; Noncontractible domain;
Quasilinear elliptic problems with critical exponents and Hardy terms
Keywords: نماینده انتقادی Sobolev; Quasilinear elliptic equation; Energy functional; Palais-Smale condition; Critical Sobolev exponent;
Some existence results for a Paneitz type problem via the theory of critical points at infinity
Keywords: نماینده انتقادی Sobolev; 35J60; 35J65; 58E05; Critical points at infinity; Critical Sobolev exponent; Lack of compactness;
Super-critical boundary bubbling in a semilinear Neumann problem
Keywords: نماینده انتقادی Sobolev; Critical Sobolev exponent; Neumann boundary conditions; Mean curvature; Bubble solutions; Liapunov-Schmidt reduction;