Keywords: گروه های بحرانی; 35J60; 58E05; Quasilinear Schrödinger equation; Standing waves; Critical groups; Local linking;
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Keywords: گروه های بحرانی; Primary; 35J20; 35J60; Secondary; 58E05; Indefinite potential; Robin boundary condition; Superlinear reaction term; Regularity theory; Critical groups; Nodal solutions;
Keywords: گروه های بحرانی; Jumping nonlinearity; Strong comparison principle; Nodal solutions; Critical groups; Local minimizer
Keywords: گروه های بحرانی; Indefinite and unbounded potential; Reduction method; Resonance; Unique continuation property; Regularity; Critical groups;
Keywords: گروه های بحرانی; Critical groups; Resonance; Morse theory
Keywords: گروه های بحرانی; Indefinite potential; Local regularity; Critical groups; Homotopy equivalent sets; Solutions of constant sign; Nonlinear maximum principle;
Keywords: گروه های بحرانی; primary, 58E05, 53B40, 53C22, 58B20, 53C20Finsler metric; Geodesics; Morse theory; Critical groups; Splitting theorem; Shifting theorem
Keywords: گروه های بحرانی; Impulsive problems; Asymptotically piecewise linear problems; Resonance set; Nontrivial solutions; Morse theory; Critical groups; Saddle point theorem
Keywords: گروه های بحرانی; Asymptotically linear discrete problem; Critical groups; Morse theory; Local linking;
Keywords: گروه های بحرانی; An infinite lattice of particles; Critical groups; Morse theory; Resonance;
Asymmetric (p,2)-equations, superlinear at +â, resonant at ââ
Keywords: گروه های بحرانی; 35J20; 35J60; 58E05; Nonlinear regularity; Nonlinear maximum principle; Critical groups; Constant sign and nodal solutions; Multiplicity theorem;
Multiplicity for a 4-sublinear Schrödinger-Poisson system with sign-changing potential via Morse theory
Keywords: گروه های بحرانی; Schrödinger-Poisson system; Morse theory; Critical groups; Sign-changing potential;
Multiple solutions for a nonlinear Schrödinger–Poisson system with sign-changing potential
Keywords: گروه های بحرانی; Schrödinger–Poisson system; Critical groups; Morse theory; Variational methods
Nonlinear elliptic equations with asymmetric asymptotic behavior at ±∞±∞
Keywords: گروه های بحرانی; Asymmetric reaction; Critical groups; Nonlinear regularity; Nonlinear maximum principle; Resonance; Variational methods
Constant sign and nodal solutions for a class of nonlinear Dirichlet problems
Keywords: گروه های بحرانی; Mountain pass theorem; Second deformation theorem; Eigenvalues of p-Laplacian; Critical groups; Constant sign and nodal solutions; Extremal solutions;
pp-Laplace equations with singular weights
Keywords: گروه های بحرانی; primary, 35J75; secondary, 35J20, 35J25, 35J92pp-Laplacian; Dirichlet problem; Singular weights; Nontrivial solutions; Morse theory; Critical groups; Cohomological local splitting
Sublinear and superlinear Ambrosetti–Prodi problems for the Dirichlet pp-Laplacian
Keywords: گروه های بحرانی; 35J20; 35J60; 35J92Ambrosetti–Prodi problem; Sublinear and superlinear reaction; Upper and lower solutions; Nonlinear regularity; Critical groups
Pairs of nontrivial solutions for resonant Neumann problems
Keywords: گروه های بحرانی; Unique continuation property; Resonance; Critical groups; Morse index; Nullity; Linking sets;
Orlicz–Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations
Keywords: گروه های بحرانی; Orlicz–Sobolev spaces; Regularity; Multiplicity results; Critical groups
Nontrivial solutions of Kirchhoff type problems
Keywords: گروه های بحرانی; Kirchhoff type problems; Eigenvalues; Critical groups; Critical points
Nontrivial solutions on a kind of fourth-order Neumann boundary value problems
Keywords: گروه های بحرانی; Neumann boundary value problem; Critical groups; Lyapunov-Schmidt reduction;
On superlinear p(x)p(x)-Laplacian problems without Ambrosetti and Rabinowitz condition
Keywords: گروه های بحرانی; 35J20; 35J65; 35J70; 58E05p(x)p(x)-Laplacian equations; Superlinear conditions; Critical groups; Modified functional methods
Dirichlet problems with double resonance and an indefinite potential
Keywords: گروه های بحرانی; Constant sign and nodal solutions; Double resonance; Harnack inequality; Critical groups; Gradient flow; Mountain pass theorem
Applications of linking to Hammerstein integral equations
Keywords: گروه های بحرانی; Asymptotic linear; Critical groups; Linking; Existence;
On resonant Neumann problems: Multiplicity of solutions
Keywords: گروه های بحرانی; 35J20; 35J60; 58E05Asymptotically linear problem; Resonant problems; Reduction technique; Critical groups; Mountain pass theorem; Morse theory
Existence of three nontrivial solutions for asymptotically pp-linear noncoercive pp-Laplacian equations
Keywords: گروه های بحرانی; primary, 35J20; secondary, 35J60, 58E05, 58K05Mountain pass theorem; Critical groups; Morse relation; Homotopy invariance; pp-Laplacian
On superlinear problems without the Ambrosetti and Rabinowitz condition
Keywords: گروه های بحرانی; 35J60; 58E05pp-Laplacian; Superlinear problems; Cerami sequences; Critical groups; Fountain Theorem
On superquadratic periodic systems with indefinite linear part
Keywords: گروه های بحرانی; 34C25; 58E05Superquadratic potential; AR-condition; CC-condition; Critical groups; Periodic solution
The existence of two nontrivial solutions via homological local linking for the non-coercive p-Laplacian Neumann problem
Keywords: گروه های بحرانی; 35J25; 35J80; 58E05pp-Laplacian; Critical groups; C-condition; PS-condition; Noncoercive Euler functional
Existence and multiplicity for a resonance problem for the p-Laplacian on bounded domains in RN
Keywords: گروه های بحرانی; Resonance; p-Laplacian; Landesman-Lazer condition; Morse index; Critical groups;
Multiple positive solutions for a critical quasilinear equation via Morse theory
Keywords: گروه های بحرانی; 58E05; 35B20; 35B33; 35J60p-Laplace equations; Critical Sobolev exponent; Perturbation results; Morse theory; Critical groups
On the multiplicity of positive solutions for p-Laplace equations via Morse theory
Keywords: گروه های بحرانی; 58E05; 35B20; 35B33; 35J60p-Laplace equations; Perturbation results; Morse theory; Critical groups
Multiple nontrivial solutions for semilinear elliptic problems
Keywords: گروه های بحرانی; primary, 35J20; secondary, 58E05Multiple solutions; Solutions of constant sign; Nodal solutions; Upper and lower solutions; Truncations; Critical point theory; Critical groups; Poincaré–Hopf formula
Computations of critical groups and applications to some differential equations at resonance
Keywords: گروه های بحرانی; Morse theory; Critical groups; Second order Hamiltonian system; Elliptic boundary value problem; Nontrivial solutions
Periodic solutions for an asymptotically linear wave equation with resonance
Keywords: گروه های بحرانی; 35J65; 58A05Morse index theory; Critical groups; Wave equation with resonance
The significance of agricultural vs. natural ecosystem pathways in temperate climates in assessments of long-term radiological impact
Keywords: گروه های بحرانی; Radioactive waste disposal; Biosphere modelling; Long-term safety assessment; Critical groups; Natural pathways;