26 research outputs found
Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions
Get PDFA -Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain
Get PDFsummary:We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions
Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
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Two nontrivial critical points for nonsmooth functionals via local linking and applications
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EXISTENCE AND BIFURCATION RESULTS FOR FOURTH-ORDER ELLIPTIC EQUATIONS INVOLVING TWO CRITICAL SOBOLEV EXPONENTS
No full textExtremal Solutions and Strong Relaxation for Second Order Multivalued Boundary Value Problems
No full textEigenvalue problems for hemivariational inequalities
No full textWe consider a semilinear eigenvalue problem with a nonsmooth potential (hemivariational inequality). Using a nonsmooth analog of the local Ambrosetti–Rabinowitz condition (AR-condition), we show that the problem has a nontrivial smooth solution. In the scalar case, we show that we can relax the local AR-condition. Finally, for the resonant λ = λ 1 problem, using the nonsmooth version of the local linking theorem, we show that the problem has at least two nontrivial solutions. Our approach is variational, using minimax methods from the nonsmooth critical point theory
