On \(p\)-superlinear equations with a nonhomogeneous differential operator

DOI10.1007/s00030-012-0187-9zbMath1283.35029OpenAlexW2040161111MaRDI QIDQ2393608

Vasile Staicu, Nikolaos S. Papageorgiou, Sergiu Aizicovici

Publication date: 8 August 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-012-0187-9

zbMATH Keywords

variational methodscomparison resultssuperlinear reactionlocal minimizernonhomogeneous differential operatornonlinear maximum principlenonlinear regularity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (19)

Nonlinear nonhomogeneous Dirichlet equations involving a superlinear nonlinearity ⋮ Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction ⋮ Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet \(p\)-Laplacian ⋮ Dirichlet problems with singular and superlinear terms ⋮ \((p,2)\)-equations asymmetric at both zero and infinity ⋮ On a class of parametric \((p,2)\)-equations ⋮ Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential ⋮ On a class of fully anisotropic elliptic equations ⋮ Nonlinear Dirichlet problems with a crossing reaction ⋮ Multiple solutions for \((p, 2)\)-equations at resonance ⋮ Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth ⋮ Existence and multiplicity of solutions for resonant \((p,2)\)-equations ⋮ Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems ⋮ Resonant (p, 2)-equations with concave terms ⋮ Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity ⋮ Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance ⋮ Superlinear Robin problems with indefinite linear part ⋮ Resonant (p, 2)-equations with asymmetric reaction ⋮ On nodal solutions for nonlinear elliptic equations with a nonhomogeneous differential operator

Cites Work

• Unnamed Item
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• Stability of thermal convection of an Oldroyd-B fluid in a porous medium with Newtonian heating
• Nonuniformly elliptic equations of \(p\)-Laplacian type
• Multiple solutions for superlinear \(p\)-Laplacian Neumann problems
• Superlinear problems
• Existence of multiple solutions with precise sign information for superlinear Neumann problems
• The maximum principle
• A multiplicity theorem for hemivariational inequalities with a \(p\)-Laplacian-like differential operator
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• On a \(p\)-superlinear Neumann \(p\)-Laplacian equation
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Mountain pass solutions to equations of \(p\)-Laplacian type.
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• Multi-valued boundary value problems involving Leray-Lions operators and discontinuous non\-linearities
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• A strong maximum principle for some quasilinear elliptic equations
• Multiple solutions for \(p\)-Laplacian type equations
• Nontrivial solutions of superlinear \(p\)-Laplacian equations
• Linear and quasilinear elliptic equations
• Positive solutions for nonlinear hemivariational inequalities
• A strong maximum principle for differential equations with nonstandard \(p(x)\)-growth conditions
• Existence of Multiple Solutions for Nonlinear Dirichlet Problems with a Nonhomogeneous Differential Operator
• Bifurcation analysis in a diffusive ‘food-limited’ model with time delay
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Existence results for perturbations of the p-Laplacian
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions
• On nonlinear parametric problems for p-Laplacian-like operators
• The Ambrosetti–Prodi Problem for thep-Laplace Operator
• Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints

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