Quasilinear equations involving indefinite nonlinearities and exponential critical growth in \(\mathbb{R}^N\)
DOI10.1007/s10231-020-00997-0zbMath1465.35227OpenAlexW3034062843WikidataQ115605914 ScholiaQ115605914MaRDI QIDQ2662182
Jefferson Abrantes Santos, Uberlandio B. Severo, Luciana Roze de Freitas
Publication date: 9 April 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-020-00997-0
existence of solutionsquasilinear equationsvariational methodnonlinearities with exponential critical growth
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
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Cites Work
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- An elliptic problem with an indefinite nonlinearity and a parameter in the boundary condition
- Indefinite quasilinear elliptic equations in exterior domains with exponential critical growth.
- Generalized \(n\)-Laplacian: quasilinear nonhomogeneous problem with critical growth
- Brezis-Merle type inequality for a weak solution to the \(N\)-Laplace equation in Lorentz-Zygmund spaces.
- Nonnegative solutions of elliptic problems with sublinear indefinite nonlinearity
- Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
- Positive solution branch for elliptic problems with critical indefinite nonlinearity.
- On a quasilinear nonhomogeneous elliptic equation with critical growth in \(\mathbb R^N\)
- Conformal metrics with prescribed scalar curvature
- Scalar curvature and conformal deformation of Riemannian structure
- On semilinear elliptic equations with indefinite nonlinearities
- Variational integrals on Orlicz-Sobolev spaces
- \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
- Elliptic problems with nonlinearities indefinite in sign
- Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
- Dirichlet problem with indefinite nonlinearities
- Variational methods for indefinite superlinear homogeneous elliptic problems
- Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking
- The \(N\)-Laplacian elliptic equation: Variational versus entropy solutions
- Generalized Moser-Trudinger inequality for unbounded domains and its application
- Dual variational methods in critical point theory and applications
- Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics
- An improvement for the Trudinger-Moser inequality and applications
- Bifurcation problems for superlinear elliptic indefinite equations with exponential growth
- On a class of elliptic problems with indefinite nonlinearities
- Multiplicity of solutions for a class of quasilinear equations with exponential critical growth
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- A proof of Trudinger's inequality and its application to nonlinear Schrödinger equations
- Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- Small perturbations of an indefinite elliptic equation
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening
- On generalized Lorentz-Zygmund spaces
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- A sharp embedding theorem for Orlicz-Sobolev spaces
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- An elliptic equation with indefinite nonlinearities and exponential critical growth in R2
- Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
- Existence of positive solutions for a class of indefinite elliptic problems in \(\mathbb{R}^N\)
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