
Keywords: مشکل خاصی غیر خطی; 35J93; 47J15; 35B32; 34B15; Prescribed mean curvature equation; Direction of bifurcation; Nonlinear eigenvalue problem; Transcritical bifurcation; Pitchfork bifurcation; Exponential nonlinearity; Logistic nonlinearity; Pendulum; Perturbed Gelfand problem;